• Title of article

    Different versions of a first countable space without choice

  • Author/Authors

    Keremedis، نويسنده , , Kyriakos and Tachtsis، نويسنده , , Eleftherios، نويسنده ,

  • Issue Information
    دوماهنامه با شماره پیاپی سال 2009
  • Pages
    5
  • From page
    2000
  • To page
    2004
  • Abstract
    We show that two versions of a first countable topological space which are equivalent in ZFC set theory split in the absence of the Axiom of Choice AC. This answers in the negative a related question from Gutierres “What is a first countable space?”.
  • Keywords
    First countable topological spaces , Independence results , Weak axioms of choice , AXIOM OF CHOICE
  • Journal title
    Topology and its Applications
  • Serial Year
    2009
  • Journal title
    Topology and its Applications
  • Record number

    1582112

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=1582112